How can i graph this equation by plug in numbers????
x^2-y^2=9
HELP PLZ!!!!!!THX ALOT!!!!
Assign numbers to x and solve for y then put them in a graph:
let's say x is -3
Then 9=y^2+9
y^2=0
y=0
Ok now x= -4
16=y^2+9
y^2=5
y=2.236
Also you can assign y a number and solve for x
Say y=0
Then x^2-0=9
x=3
To graph the equation x^2 - y^2 = 9, you can use a systematic approach of plugging in numbers for either x or y and solving for the other variable, then plotting those points on a graph.
Let's start by assigning values to x and solving for y.
For example, let's take x = -3.
Substituting this value into the equation, we get:
(-3)^2 - y^2 = 9
9 - y^2 = 9
y^2 = 0
y = 0
So, when x = -3, y = 0.
Now, let's try x = -4.
Substituting this value into the equation, we get:
(-4)^2 - y^2 = 9
16 - y^2 = 9
y^2 = 7
y ≈ 2.646
So, when x = -4, y ≈ 2.646.
In addition to assigning values to x, you can also assign values to y and solve for x to obtain more points on the graph.
For example, if we assign y = 0, we can solve for x.
Substituting this into the equation, we get:
x^2 - 0 = 9
x^2 = 9
x = ±3
So, when y = 0, x can be 3 or -3.
By repeating this process with other values of x or y, you can obtain more points on the graph. Once you have enough points, you can plot them on a graph and connect them to form the graph of the equation x^2 - y^2 = 9.